Abstract
Minimal supersymmetric hybrid inflation based on a minimal Kähler potential predicts a spectral index ns≳0.98. On the other hand, WMAP three year data prefers a central value ns≈0.95. We propose a class of supersymmetric hybrid inflation models based on the same minimal superpotential but with a non-minimal Kähler potential. Including radiative corrections using the one-loop effective potential, we show that the prediction for the spectral index is sensitive to the small non-minimal corrections, and can lead to a significantly red-tilted spectrum, in agreement with WMAP.
Highlights
Hybrid inflation models [1, 2] are examples of small field inflation models which predict a very small tensor fraction r ≪ 10−2
Amongst the models that are less preferred by the WMAP three year measurement of the spectral index are those based on minimal supersymmetric hybrid inflation
In this paper we study supersymmetric hybrid inflation with non-minimal Kahler potential, including radiative corrections using the one-loop effective potential, and show that the prediction of the spectral index is sensitive to such non-minimal effects, which can lead to a significantly red-tilted spectrum
Summary
Hybrid inflation models [1, 2] are examples of small field inflation models which predict a very small tensor fraction r ≪ 10−2. Inflation ends when the field value of the inflaton S falls below some critical value which corresponds to a tachyonic instability for φ and/or φ In this minimal model, the vevs φ and φbreak G to some subgroup H. In this paper we study supersymmetric hybrid inflation with non-minimal Kahler potential, including radiative corrections using the one-loop effective potential, and show that the prediction of the spectral index is sensitive to such non-minimal effects, which can lead to a significantly red-tilted spectrum. The summary is presented in the last section, where we briefly comment on reheating after inflation
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